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Appendix B: Common Statistical Tables 349
Table B.4 Percentage points of the F distribution: df1 for numerator and df2 for denominator
df
2
Significant level = 0.01 df1 for numerator
1 2 3 4 5 6 7 8 9 10 12 15 20
1 4052 4999 5403 5625 5764 5859 5928 5982 6022 6056 6106 6157 6209
2 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37 99.39 99.40 99.42 99.43 99.45
3 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 27.35 27.23 27.05 26.87 26.69
4 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 14.66 14.55 14.37 14.20 14.02
5 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 10.05 9.89 9.72 9.55
6 13.75 10.92 9.78 9.15 8.75 8.47 8.26 8.10 7.98 7.87 7.72 7.56 7.40
7 12.25 9.55 8.45 7.85 7.46 7.19 6.99 6.84 6.72 6.62 6.47 6.31 6.16
8 11.26 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 5.81 5.67 5.52 5.36
9 10.56 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35 5.26 5.11 4.96 4.81
10 10.04 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 4.85 4.71 4.56 4.41
11 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63 4.54 4.40 4.25 4.10
12 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 4.30 4.16 4.01 3.86
13 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19 4.10 3.96 3.82 3.66
14 8.86 6.51 5.56 5.04 4.69 4.46 4.28 4.14 4.03 3.94 3.80 3.66 3.51
15 8.68 6.36 5.42 4.89 4.56 4.32 4.14 4.00 3.89 3.80 3.67 3.52 3.37
16 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89 3.78 3.69 3.55 3.41 3.26
17 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79 3.68 3.59 3.46 3.31 3.16
18 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 3.51 3.37 3.23 3.08
19 8.18 5.93 5.01 4.50 4.17 3.94 3.77 3.63 3.52 3.43 3.30 3.15 3.00
20 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 3.37 3.23 3.09 2.94
21 8.02 5.78 4.87 4.37 4.04 3.81 3.64 3.51 3.40 3.31 3.17 3.03 2.88
(continued)
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350 Appendix B: Common Statistical Tables
Table B.4 (continued)
df
2
Significant level = 0.01 df1 for numerator
1 2 3 4 5 6 7 8 9 10 12 15 20
22 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 3.26 3.12 2.98 2.83
23 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41 3.30 3.21 3.07 2.93 2.78
24 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36 3.26 3.17 3.03 2.89 2.74
25 7.77 5.57 4.68 4.18 3.85 3.63 3.46 3.32 3.22 3.13 2.99 2.85 2.70
26 7.72 5.53 4.64 4.14 3.82 3.59 3.42 3.29 3.18 3.09 2.96 2.81 2.66
27 7.68 5.49 4.60 4.11 3.78 3.56 3.39 3.26 3.15 3.06 2.93 2.78 2.63
28 7.64 5.45 4.57 4.07 3.75 3.53 3.36 3.23 3.12 3.03 2.90 2.75 2.60
29 7.60 5.42 4.54 4.04 3.73 3.50 3.33 3.20 3.09 3.00 2.87 2.73 2.57
30 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17 3.07 2.98 2.84 2.70 2.55
40 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99 2.89 2.80 2.66 2.52 2.37
60 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82 2.72 2.63 2.50 2.35 2.20
120 6.85 4.79 3.95 3.48 3.17 2.96 2.79 2.66 2.56 2.47 2.34 2.19 2.03
∞ 6.63 4.61 3.78 3.32 3.02 2.80 2.64 2.51 2.41 2.32 2.18 2.04 1.88
df
2
Significant level = 0.05 df1 for numerator
1 2 3 4 5 6 7 8 9 10 12 15 20
1 161.4 199.5 215.7 224.6 230.2 234.0 236.8 238.9 240.5 241.9 243.9 245.9 248.0
2 18.51 19.00 19.16 19.25 19.30 19.33 19.35 19.37 19.38 19.40 19.41 19.43 19.45
3 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 8.79 8.74 8.70 8.66
4 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 5.96 5.91 5.86 5.80
5 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.77 4.74 4.68 4.62 4.56
6 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 4.06 4.00 3.94 3.87
7 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 3.64 3.57 3.51 3.44
(continued)
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Appendix B: Common Statistical Tables 351
Table B.4 (continued)
df
2
Significant level = 0.05 df1 for numerator
1 2 3 4 5 6 7 8 9 10 12 15 20
8 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 3.35 3.28 3.22 3.15
9 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.18 3.14 3.07 3.01 2.94
10 4.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07 3.02 2.98 2.91 2.85 2.77
11 4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.90 2.85 2.79 2.72 2.65
12 4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.80 2.75 2.69 2.62 2.54
13 4.67 3.81 3.41 3.18 3.03 2.92 2.83 2.77 2.71 2.67 2.60 2.53 2.46
14 4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.65 2.60 2.53 2.46 2.39
15 4.54 3.68 3.29 3.06 2.90 2.79 2.71 2.64 2.59 2.54 2.48 2.40 2.33
16 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59 2.54 2.49 2.42 2.35 2.28
17 4.45 3.59 3.20 2.96 2.81 2.70 2.61 2.55 2.49 2.45 2.38 2.31 2.23
18 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51 2.46 2.41 2.34 2.27 2.19
19 4.38 3.52 3.13 2.90 2.74 2.63 2.54 2.48 2.42 2.38 2.31 2.23 2.16
20 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45 2.39 2.35 2.28 2.20 2.12
21 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42 2.37 2.32 2.25 2.18 2.10
22 4.30 3.44 3.05 2.82 2.66 2.55 2.46 2.40 2.34 2.30 2.23 2.15 2.07
23 4.28 3.42 3.03 2.80 2.64 2.53 2.44 2.37 2.32 2.27 2.20 2.13 2.05
24 4.26 3.40 3.01 2.78 2.62 2.51 2.42 2.36 2.30 2.25 2.18 2.11 2.03
25 4.24 3.39 2.99 2.76 2.60 2.49 2.40 2.34 2.28 2.24 2.16 2.09 2.01
26 4.23 3.37 2.98 2.74 2.59 2.47 2.39 2.32 2.27 2.22 2.15 2.07 1.99
27 4.21 3.35 2.96 2.73 2.57 2.46 2.37 2.31 2.25 2.20 2.13 2.06 1.97
28 4.20 3.34 2.95 2.71 2.56 2.45 2.36 2.29 2.24 2.19 2.12 2.04 1.96
29 4.18 3.33 2.93 2.70 2.55 2.43 2.35 2.28 2.22 2.18 2.10 2.03 1.94
(continued)
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352 Appendix B: Common Statistical Tables
Table B.4 (continued)
df
2
Significant level = 0.05 df1 for numerator
1 2 3 4 5 6 7 8 9 10 12 15 20
30 4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27 2.21 2.16 2.09 2.01 1.93
40 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18 2.12 2.08 2.00 1.92 1.84
60 4.00 3.15 2.76 2.53 2.37 2.25 2.17 2.10 2.04 1.99 1.92 1.84 1.75
120 3.92 3.07 2.68 2.45 2.29 2.17 2.09 2.02 1.96 1.91 1.83 1.75 1.66
∞ 3.84 3.00 2.60 2.37 2.21 2.10 2.01 1.94 1.88 1.83 1.75 1.67 1.57
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Appendix B: Common Statistical Tables 353
Table B.5 Random numbers
10,480 15,011 01,536 02,011 81,647 91,646 67,179 14,194 62,590 36,207 20,969 99,570 91,291 90,700
22,368 46,573 25,595 85,393 30,995 89,198 27,982 53,402 93,965 34,095 52,666 19,174 39,615 99,505
24,130 48,360 22,527 97,265 76,393 64,809 15,179 24,830 49,340 32,081 30,680 19,655 63,348 58,629
42,167 93,093 06,243 61,680 07,856 16,376 39,440 53,537 71,341 57,004 00,849 74,917 97,758 16,379
37,570 39,975 81,837 16,656 06,121 91,782 60,468 81,305 49,684 60,672 14,110 06,927 01,263 54,613
77,921 06,907 11,008 42,751 27,756 53,498 18,602 70,659 90,655 15,053 21,916 81,825 44,394 42,880
99,562 72,905 56,420 69,994 98,872 31,016 71,194 18,738 44,013 48,840 63,213 21,069 10,634 12,952
96,301 91,977 05,463 07,972 18,876 20,922 94,595 56,869 69,014 60,045 18,425 84,903 42,508 32,307
89,579 14,342 63,661 10,281 17,453 18,103 57,740 84,378 25,331 12,566 58,678 44,947 05,584 56,941
85,475 36,857 43,342 53,988 53,060 59,533 38,867 62,300 08,158 17,983 16,439 11,458 18,593 64,952
28,918 69,578 88,231 33,276 70,997 79,936 56,865 05,859 90,106 31,595 01,547 85,590 91,610 78,188
63,553 40,961 48,235 03,427 49,626 69,445 18,663 72,695 52,180 20,847 12,234 90,511 33,703 90,322
09,429 93,969 52,636 92,737 88,974 33,488 36,320 17,617 30,015 08,272 84,115 27,156 30,613 74,952
10,365 61,129 87,529 85,689 48,237 52,267 67,689 93,394 01,511 26,358 85,104 20,285 29,975 89,868
07,119 97,336 71,048 08,178 77,233 13,916 47,564 81,056 97,735 85,977 29,372 74,461 28,551 90,707
51,085 12,765 51,821 51,259 77,452 16,308 60,756 92,144 49,442 53,900 70,960 63,990 75,601 40,719
02,368 21,382 52,404 60,268 89,368 19,885 55,322 44,819 01,188 65,255 64,835 44,919 05,944 55,157
01,011 54,092 33,362 94,904 31,273 04,146 18,594 29,852 71,585 85,030 51,132 01,915 92,747 64,951
52,162 53,916 46,369 58,586 23,216 14,513 83,149 98,736 23,495 64,350 94,738 17,752 35,156 35,749
07,056 97,628 33,787 09,998 42,698 06,691 76,988 13,602 51,851 46,104 88,916 19,509 25,625 58,104
48,663 91,245 85,828 14,346 09,172 30,168 90,229 04,734 59,193 22,178 30,421 61,666 99,904 32,812
54,164 58,492 22,421 74,103 47,070 25,306 76,468 26,384 58,151 06,646 21,524 15,227 96,909 44,592
32,639 32,363 05,597 24,200 13,363 38,005 94,342 28,728 35,806 06,912 17,012 64,161 18,296 22,851
(continued)
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354 Appendix B: Common Statistical Tables
Table B.5 (continued)
29,334 27,001 87,637 87,308 58,731 00,256 45,834 15,398 46,557 41,135 10,367 07,684 36,188 18,510
02,488 33,062 28,834 07,351 19,731 92,420 60,952 61,280 50,001 67,658 32,586 86,679 50,720 94,953
81,525 72,295 04,839 96,423 24,878 82,651 66,566 14,778 76,797 14,780 13,300 87,074 79,666 95,725
29,676 20,591 68,086 26,432 46,901 20,849 89,768 81,536 86,645 12,659 92,259 57,102 80,428 25,280
00,742 57,392 39,064 66,432 84,673 40,027 32,832 61,362 98,947 96,067 64,760 64,584 96,096 98,253
05,366 04,213 25,669 26,422 44,407 44,048 37,937 63,904 45,766 66,134 75,470 66,520 34,693 90,449
91,921 26,418 64,117 94,305 26,766 25,940 39,972 22,209 71,500 64,568 91,402 42,416 07,844 69,618
00,582 04,711 87,917 77,341 42,206 35,126 74,087 99,547 81,817 42,607 43,808 76,655 62,028 76,630
00,725 69,884 62,797 56,170 86,324 88,072 76,222 36,086 84,637 93,161 76,038 65,855 77,919 88,006
69,011 65,797 95,876 55,293 18,988 27,354 26,575 08,625 40,801 59,920 29,841 80,150 12,777 48,501
25,976 57,948 29,888 88,604 67,917 48,708 18,912 82,271 65,424 69,774 33,611 54,262 85,963 03,547
09,763 83,473 73,577 12,908 30,883 18,317 28,290 35,797 05,998 41,688 34,952 37,888 38,917 88,050
91,567 42,595 27,958 30,134 04,024 86,385 29,880 99,730 55,536 84,855 29,080 09,250 79,656 73,211
17,955 56,349 90,999 49,127 20,044 59,931 06,115 20,542 18,059 02,008 73,708 83,517 36,103 42,791
46,503 18,584 18,845 49,618 02,304 51,038 20,655 58,727 28,168 15,475 56,942 53,389 20,562 87,338
92,157 89,634 94,824 78,171 84,610 82,834 09,922 25,417 44,137 48,413 25,555 21,246 35,509 20,468
14,577 62,765 35,605 81,263 39,667 47,358 56,873 56,307 61,607 49,518 89,656 20,103 77,490 18,062
98,427 07,523 33,362 64,270 01,638 92,477 66,969 98,420 04,880 45,585 46,565 04,102 46,880 45,709
53,976 54,914 06,990 67,245 68,350 82,948 11,398 42,878 80,287 88,267 47,363 46,634 06,541 97,809
15,664 10,493 20,492 38,391 91,132 21,999 59,516 81,652 27,195 48,223 46,751 22,923 32,261 85,653
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Appendix B: Common Statistical Tables 355
Table B.6 Percentage points of Chi-squared distribution
df 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005
1 – – 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879
2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597
3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838
4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860
5 0.412 0.554 0.831 1.145 1.610 9.236 11.071 12.833 15.086 16.750
6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548
7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278
8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955
9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589
10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188
11 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757
12 3.074 3.571 4.404 5.226 6.304 18.549 21.026 23.337 26.217 28.299
13 3.565 4.107 5.009 5.892 7.042 19.812 22.362 24.736 27.688 29.819
14 4.075 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29.141 31.319
15 4.601 5.229 6.262 7.261 8.547 22.307 24.996 27.488 30.578 32.801
16 5.142 5.812 6.908 7.962 9.312 23.542 26.296 28.845 32.000 34.267
17 5.697 6.408 7.564 8.672 10.085 24.769 27.587 30.191 33.409 35.718
18 6.265 7.015 8.231 9.390 10.865 25.989 28.869 31.526 34.805 37.156
19 6.844 7.633 8.907 10.117 11.651 27.204 30.144 32.852 36.191 38.582
20 7.434 8.260 9.591 10.851 12.443 28.412 31.410 34.170 37.566 39.997
21 8.034 8.897 10.283 11.591 13.240 29.615 32.671 35.479 38.932 41.401
22 8.643 9.542 10.982 12.338 14.042 30.813 33.924 36.781 40.289 42.796
23 9.262 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181
24 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.980 45.559
25 10.520 11.524 13.120 14.611 16.473 34.382 37.652 40.646 44.314 46.928
26 11.160 12.198 13.844 15.379 17.292 35.563 38.885 41.923 45.642 48.290
27 11.808 12.879 14.573 16.151 18.114 36.741 40.113 43.194 46.963 49.645
28 12.461 13.565 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50.993
29 13.121 14.257 16.047 17.708 19.768 39.087 42.557 45.722 49.588 52.336
30 13.787 14.954 16.791 18.493 20.599 40.256 43.773 46.979 50.892 53.672
40 20.707 22.164 24.433 26.509 29.051 51.805 55.758 59.342 63.691 66.766
50 27.991 29.707 32.357 34.764 37.689 63.167 67.505 71.420 76.154 79.490
60 35.534 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 91.952
70 43.275 45.442 48.758 51.739 55.329 85.527 90.531 95.023 100.425 104.215
80 51.172 53.540 57.153 60.391 64.278 96.578 101.879 106.629 112.329 116.321
90 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 124.116 128.299
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356 Appendix B: Common Statistical Tables
Table B.7 Critical values of the Spearman’s ranked correlation coefficient (r)
n 0.10 0.05 0.02 0.01
5 0.900 – – –
6 0.829 0.886 0.943 –
7 0.714 0.786 0.893 0.929
8 0.643 0.738 0.833 0.881
9 0.600 0.700 0.783 0.833
10 0.564 0.648 0.745 0.794
11 0.536 0.618 0.709 0.818
12 0.497 0.591 0.703 0.780
13 0.475 0.566 0.673 0.745
14 0.457 0.545 0.646 0.716
15 0.441 0.525 0.623 0.689
16 0.425 0.507 0.601 0.666
17 0.412 0.490 0.582 0.645
18 0.399 0.476 0.564 0.625
19 0.388 0.462 0.549 0.608
20 0.377 0.450 0.534 0.591
21 0.368 0.438 0.521 0.576
22 0.359 0.428 0.508 0.562
23 0.351 0.418 0.496 0.549
24 0.343 0.409 0.485 0.537
25 0.336 0.400 0.475 0.526
26 0.329 0.392 0.465 0.515
27 0.323 0.385 0.456 0.505
28 0.317 0.377 0.488 0.496
29 0.311 0.370 0.440 0.487
30 0.305 0.364 0.432 0.478
The null hypothesis is rejected if the calculated Spearman rank correlation is greater than the given
value in the table. Ignore the sign of negative coefficient correlations
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Appendix B: Common Statistical Tables 357
Table B.8 Critical values of the Pearson’s correlation coefficient (r)
N One-tailed α
0.10 0.05 0.025 0.01 0.005 0.001 0.0005
Two-tailed α
0.20 0.10 0.05 0.02 0.01 0.002 0.001
3 0.951 0.988 0.997 1.00 1.00 1.00 1.00
4 0.800 0.900 0.950 0.980 0.990 0.998 0.999
5 0.687 0.805 0.878 0.934 0.959 0.986 0.991
6 0.608 0.729 0.811 0.882 0.917 0.963 0.974
7 0.551 0.669 0.755 0.833 0.875 0.935 0.951
8 0.507 0.622 0.707 0.789 0.834 0.905 0.925
9 0.472 0.582 0.666 0.750 0.798 0.875 0.898
10 0.443 0.549 0.632 0.716 0.765 0.847 0.872
11 0.419 0.522 0.602 0.685 0.735 0.820 0.847
12 0.398 0.497 0.576 0.658 0.708 0.795 0.823
13 0.380 0.476 0.553 0.634 0.684 0.772 0.801
14 0.365 0.458 0.533 0.612 0.661 0.750 0.780
15 0.351 0.441 0.514 0.592 0.641 0.730 0.760
16 0.338 0.426 0.497 0.574 0.623 0.711 0.742
17 0.327 0.412 0.482 0.558 0.606 0.694 0.725
18 0.317 0.400 0.468 0.543 0.590 0.678 0.708
19 0.308 0.389 0.456 0.529 0.575 0.662 0.693
20 0.299 0.378 0.444 0.516 0.562 0.648 0.679
25 0.265 0.337 0.396 0.462 0.505 0.588 0.618
30 0.241 0.306 0.361 0.423 0.463 0.542 0.570
35 0.222 0.283 0.334 0.392 0.430 0.505 0.532
40 0.207 0.264 0.312 0.367 0.403 0.474 0.501
45 0.195 0.248 0.294 0.346 0.380 0.449 0.474
50 0.184 0.235 0.279 0.328 0.361 0.427 0.451
55 0.176 0.224 0.266 0.313 0.345 0.408 0.432
60 0.168 0.214 0.254 0.300 0.330 0.391 0.414
65 0.161 0.206 0.244 0.288 0.317 0.376 0.399
70 0.155 0.198 0.235 0.278 0.306 0.363 0.385
75 0.150 0.191 0.227 0.268 0.296 0.351 0.372
80 0.145 0.185 0.220 0.260 0.286 0.341 0.361
85 0.140 0.180 0.213 0.252 0.278 0.331 0.351
90 0.136 0.175 0.207 0.245 0.270 0.322 0.341
95 0.133 0.170 0.202 0.238 0.263 0.313 0.332
100 0.129 0.165 0.197 0.232 0.257 0.305 0.324
If the calculated Pearson’s correlation coefficient is greater than the critical value from the table, then reject the
null hypothesis
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358 Appendix B: Common Statistical Tables
Table B.9 Binomial probability distribution table
n x p = 0.05 0.10 0.15 0.20 0.25 0.30 0.40 0.50
2 0 0.9025 0.8100 0.7225 0.6400 0.5625 0.4900 0.3600 0.2500
1 0.9975 0.9900 0.9775 0.9600 0.9375 0.9100 0.8400 0.7500
3 0 0.8574 0.7290 0.6141 0.5120 0.4219 0.3430 0.2160 0.1250
1 0.9928 0.9720 0.9393 0.8960 0.8438 0.7840 0.6480 0.5000
2 0.9999 0.9990 0.9966 0.9920 0.9844 0.9730 0.9360 0.8750
4 0 0.8145 0.6561 0.5220 0.4096 0.3164 0.2401 0.1296 0.0625
1 0.9860 0.9477 0.8905 0.8192 0.7383 0.6517 0.4752 0.3125
2 0.9995 0.9963 0.9880 0.9728 0.9492 0.9163 0.8208 0.6875
3 1.0000 0.9999 0.9995 0.9984 0.9961 0.9919 0.9744 0.9375
5 0 0.7738 0.5905 0.4437 0.3277 0.2373 0.1681 0.0778 0.0313
1 0.9774 0.9185 0.8352 0.7373 0.6328 0.5282 0.3370 0.1875
2 0.9988 0.9914 0.9734 0.9421 0.8965 0.8369 0.6826 0.5000
3 1.0000 0.9995 0.9978 0.9933 0.9844 0.9692 0.9130 0.8125
4 1.0000 1.0000 0.9999 0.9997 0.9990 0.9976 0.9898 0.9688
6 0 0.7351 0.5314 0.3771 0.2621 0.1780 0.1177 0.0467 0.0156
1 0.9672 0.8857 0.7765 0.6554 0.5339 0.4202 0.2333 0.1094
2 0.9978 0.9841 0.9527 0.9011 0.8306 0.7443 0.5443 0.3438
3 0.9999 0.9987 0.9941 0.9830 0.9624 0.9295 0.8208 0.6563
4 1.0000 1.0000 0.9996 0.9984 0.9954 0.9891 0.9590 0.8906
5 1.0000 1.0000 1.0000 0.9999 0.9998 0.9993 0.9959 0.9844
7 0 0.6983 0.4783 0.3206 0.2097 0.1335 0.0824 0.0280 0.0078
1 0.9556 0.8503 0.7166 0.5767 0.4450 0.3294 0.1586 0.0625
2 0.9962 0.9743 0.9262 0.8520 0.7564 0.6471 0.4199 0.2266
3 0.9998 0.9973 0.9879 0.9667 0.9294 0.8740 0.7102 0.5000
4 1.0000 0.9998 0.9988 0.9953 0.9871 0.9712 0.9037 0.7734
5 1.0000 1.0000 0.9999 0.9996 0.9987 0.9962 0.9812 0.9375
6 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9984 0.9922
8 0 0.6634 0.4305 0.2725 0.1678 0.1001 0.0576 0.0168 0.0039
1 0.9428 0.8131 0.6572 0.5033 0.3671 0.2553 0.1064 0.0352
2 0.9942 0.9619 0.8948 0.7969 0.6785 0.5518 0.3154 0.1445
3 0.9996 0.9950 0.9787 0.9437 0.8862 0.8059 0.5941 0.3633
4 1.0000 0.9996 0.9971 0.9896 0.9727 0.9420 0.8263 0.6367
5 1.0000 1.0000 0.9998 0.9988 0.9958 0.9887 0.9502 0.8555
(continued)
https://t.me/med1917
Соседние файлы в папке Библиотека им академика М.И. Перельмана